51966 has 12 divisors (see below), whose sum is σ = 112632. Its totient is φ = 17316.

The previous prime is 51949. The next prime is 51971. The reversal of 51966 is 66915.

It is a congruent number.

It is an unprimeable number.

51966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1426 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (9386).

2⁵¹⁹⁶⁶ is an apocalyptic number.

51966 is an abundant number, since it is smaller than the sum of its proper divisors (60666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51966 is a wasteful number, since it uses less digits than its factorization.

51966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2892 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 51966 is about 227.9605228982. The cubic root of 51966 is about 37.3169748343.

It can be divided in two parts, 519 and 66, that added together give a palindrome (585).

The spelling of 51966 in words is "fifty-one thousand, nine hundred sixty-six".